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C_α-compact

Last-modified: 2010-12-04 (土) 14:24:56

Definition Edit

Let α be a cardinal.
A subset B of a topological space X is called C_α-compact if for every continuous function f from X to R^α (the Cartsian product of the reals), the image of B by f is compact in R^α.

Remark Edit

Reference Edit

Manuel Sanchis and Angel Tamariz-Mascarua, p-pseudocompactness and related topics in topological spaces, Topology and its Applications 98 (1999) 323-343.